How to Find GCF of 34/593, 31/456, 313/768?

GCF of 34/593, 31/456, 313/768

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 34/593, 31/456, 313/768 i.e 1/8653056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/593, 31/456, 313/768.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 34/593,31/456,313/768?

Given fractions are 34/593,31/456,313/768

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 34/593,31/456,313/768, numerators are 34,31,313

Denominators are 593,456,768

The GCF of 34,31,313 is 1 .

LCM of 593,456,768 is 8653056.

The greatest common factor of 34/593,31/456,313/768 = [GCF of 34,31,313]/[LCM of 593,456,768]= 1/8653056

Therefore, the GCF of 34/593,31/456,313/768 is 1/8653056.

Greatest Common Factor of 34,31,313

To find the highest common factor of 34,31,313, we have to find the factors of both numbers and list the highest common factor.

The factors of 34 are 1, 2, 17, 34

The factors of 31 are 1, 31

The factors of 313 are 1, 313

The HCF of 34,31,313 is 1.

Lets's calculate GCF of 34,31,313

Greatest Common Factor (GCF) of 34,31,313 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 34,31,313 By Matching Biggest Common Factor Method

Now, list down the factors of 34

1,2,17,34

Now, list down the factors of 31

1,31

Now, list down the factors of 313

1,313

Greatest Common Factor

We found the factors 34,31,313 . The biggest common factor number is the GCF number.
So the greatest common factor 34,31,313 is 1.

Lets's calculate LCM of 593,456,768

Lowest Common Multiple of 593,456,768 using Common Division

2	593, 456, 768
2	593, 228, 384
2	593, 114, 192
3	593, 57, 96
	593, 19, 32

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 593 x 19 x 32 = 8653056

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8653056

Therefore, the GCF of Fractions 34/593,31/456,313/768 is 1/8653056

Least Common Multiple of 593,456,768 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 593,456,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,456,768) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(593,456,768) x common factors =1 x 24 = 24

LCM(593,456,768) = ( 593 × 456 × 768 ) / 24

LCM(593,456,768) = 207673344 / 24

LCM(593,456,768) = 8653056

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 34/593, 31/456, 313/768

1. What is the HCF of 34,31,313?

The HCF of 34,31,313 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 34/593, 31/456, 313/768?

Answer: GCF of Numerators as per given numbers 34/593, 31/456, 313/768 is

GCF of Numerators i.e. for 34,31,313 is 1

LCM of denominators i.e. for 593,456,768 is 8653056.

Thus, GCF of Fractions is 1/8653056.Finally, GCF of Fractions for 34/593, 31/456, 313/768 is 1/8653056.